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Finding the Fourth Proportional to 42,957.41, 59,261.81 and 27,853.90

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Solution

The fourth proportional to 42,957.41, 59,261.81 and 27,853.90 is: 38,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957.41 : 59,261.81 = 27,853.90 : x
  2. Step 2: Convert to fraction form
    42,957.41/59,261.81 = 27,853.90/x
  3. Step 3: Cross multiply
    42,957.41x = 59,261.81 × 27,853.90
  4. Step 4: Simplify right side
    42,957.41x = 1,650,672,093.98
  5. Step 5: Solve for x
    x = 1,650,672,093.98/42,957.41
  6. Step 6: Final answer
    x = 38,425.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.